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28299460 = 2257267431
BaseRepresentation
bin110101111110…
…1000011000100
31222020202120011
41223331003010
524221040320
62450320004
7462353500
oct153750304
958222504
1028299460
1114a79892
129589004
135b2ac57
143a89300
15274005a
hex1afd0c4

28299460 has 72 divisors (see below), whose sum is σ = 70326144. Its totient is φ = 9535680.

The previous prime is 28299457. The next prime is 28299463. The reversal of 28299460 is 6499282.

28299460 = T232 + T233 + ... + T566.

It is an interprime number because it is at equal distance from previous prime (28299457) and next prime (28299463).

It is not an unprimeable number, because it can be changed into a prime (28299463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65445 + ... + 65875.

It is an arithmetic number, because the mean of its divisors is an integer number (976752).

Almost surely, 228299460 is an apocalyptic number.

28299460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28299460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35163072).

28299460 is an abundant number, since it is smaller than the sum of its proper divisors (42026684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28299460 is a wasteful number, since it uses less digits than its factorization.

28299460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 28299460 is about 5319.7236770344. The cubic root of 28299460 is about 304.7376046551.

The spelling of 28299460 in words is "twenty-eight million, two hundred ninety-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 67 70 98 134 140 196 245 268 335 431 469 490 670 862 938 980 1340 1724 1876 2155 2345 3017 3283 4310 4690 6034 6566 8620 9380 12068 13132 15085 16415 21119 28877 30170 32830 42238 57754 60340 65660 84476 105595 115508 144385 202139 211190 288770 404278 422380 577540 808556 1010695 1414973 2021390 2829946 4042780 5659892 7074865 14149730 28299460